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Finding the Fourth Proportional to 3,146, 4,341.72 and 1,748.88

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Solution

The fourth proportional to 3,146, 4,341.72 and 1,748.88 is: 2,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146 : 4,341.72 = 1,748.88 : x
  2. Step 2: Convert to fraction form
    3,146/4,341.72 = 1,748.88/x
  3. Step 3: Cross multiply
    3,146x = 4,341.72 × 1,748.88
  4. Step 4: Simplify right side
    3,146x = 7,593,147.27
  5. Step 5: Solve for x
    x = 7,593,147.27/3,146
  6. Step 6: Final answer
    x = 2,413.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.